- Ovsiannikov , W.F. 1962 . “ Group properties of differential equations ” . Edited by: Bluman , G. W. Moscow : Novosibirsk . in russian, translated
- Ames , W.F. 1972 . Nonlinear partial differential equations in engineering , Vol. 2 , New York : Academic Press .
- Ames , W.F. and Ovsiannikov , L.V. 1972 . Group analysis of differential equations , Vol. 2 , New York : Academic Press . Academic Press, New York ,1982
- Bluman , G.W. and Cole , J.D. 1974 . Similarity methods for differential equations , New York : Springer .
- Ibragimov , N.H. 1985 . Transformation groups applied to mathematical physics Reidel, Boston
- Olver , P.J. and Bluman , G.W. 1989 . Symmetries and differential equations , New York : Springer . Springer, New York ,1989
- Bluman , G.W. and Kumei , S. 1989 . Symmetries and differential equations , New York : Springer .
- Tajiri , M. , Nishitani , T. and Kawamoto , S. 1982 . Similarity solutions of the Kadomtsev-Petviashvili equation . J. Phys. Soc. , 51 : 2350 – 2356 .
- Dresner , L. 1988 . Similarity solutions of nonlinear partial differential equations , Vol. 88 , Pitman, Boston : Res.Notes in Math. .
- Donato , A. 1987 . Similarity analysis and non-linear wave propagation, . Int. J. Nonlinear Mech. , 22 : 307 – 314 .
- Ames , .W.F and Donato , A. 1988 . On the evolution of weak discontinuities in a state characterized by invariant solutions . Int. J. Non-linear Mech. , 23 : 167 – 174 .
- Donato , A. and Nucci , M.C. 1988 . Similarity solutions and spherical discontinuity waves in hyperelastic materials subject to a non constant deformation . Meccanica , 23 : 156 – 159 .
- Manganaro , N. and Oliveri , F. 1989 . Group analysis approach in magnetohydrodynamics: weak discontinuity propagation in a non-constant state . Meccanica , 24 : 71 – 78 .
- Ames , W.F. , Donato , A. and Nucci , M.C. 1989 . “ Analysis of the threadline equations ” . In In "Nonlinear wave motion" , Edited by: Jeffrey , A. 1 – 10 . Longman Scientific and Technical .
- Torrisi , M. 1989 . Similarity solutions and growth of weak discontinuities in a nonconstant state for a reactive polytropic gas,Int. . J. Non-linear Mech , 24 : 441 – 449 .
- Bluman , G. W. 1983 . On mapping partial differential equations to constant coefficient equations . SIAM J. Appl. Math. , 43 : 1259 – 1273 .
When nonautonomous equations are equivalent to autonomopus ones
Reprints and Corporate Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Academic Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
Related research
People also read lists articles that other readers of this article have read.
Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.
Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.